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Finding the Third Proportional to 66.44 and 155.97

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Solution

The third proportional to 66.44 and 155.97 is: 366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.44 : 155.97 = 155.97 : x
  2. Step 2: Convert to fraction form
    66.44/155.97 = 155.97/x
  3. Step 3: Cross multiply
    66.44x = 155.97 × 155.97
  4. Step 4: Simplify right side
    66.44x = 24,326.25
  5. Step 5: Solve for x
    x = 24,326.25/66.44
  6. Step 6: Final answer
    x = 366.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.